Given `sintheta=(3)/(5)`. Find all the other T-rations, if `theta` lies in the first quadrant.

Explanation

To solve the problem, we start with the given information that \( \sin \theta = \frac{3}{5} \) and that \( \theta \) lies in the first quadrant. We will find all the other trigonometric ratios: cosine, tangent, cosecant, secant, and cotangent.

### Step-by-Step Solution:

1. **Understanding the Sine Ratio**:
We know that \( \sin \theta = \frac{\text{opposite}}{\text{hypotenuse}} \). Here, we can denote the opposite side (perpendicular) as 3 and the hypotenuse as 5.

2. **Using the Pythagorean Theorem**:
...